Details

Time bar (total: 5.5s)

sample76.0ms

Algorithm
intervals
Results
27.0ms91×body1280valid
13.0ms73×body640valid
11.0ms259×body80valid
6.0ms49×body320valid
3.0ms29×body160valid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1284
2564
31024
41534
53344
69244
719124
850014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ (sin y) y))
0.1b
(/ (sin y) y)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv expm1-log1p-u cosh-def div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 65
Calls
2 calls:
16.0ms
(* (cosh x) (/ (sin y) y))
9.0ms
(/ (sin y) y)

series98.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(* (cosh x) (/ (sin y) y))
25.0ms
(/ (sin y) y)

simplify41.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0271408
11085363
25001351

prune168.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (/ 1 (/ y (sin y))))
0.1b
(/ y (sin y))
0.2b
(/ 1 (/ y (sin y)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
156×times-frac
103×add-sqr-sqrt
91×*-un-lft-identity
89×add-cube-cbrt
44×associate-*r*
35×add-exp-log
19×add-cbrt-cube
16×associate-/r*
15×div-exp
10×div-inv
7×cbrt-undiv prod-exp
6×pow1 associate-/l*
5×unswap-sqr
4×rec-exp 1-exp
3×expm1-log1p-u associate-*l* cbrt-unprod log1p-expm1-u add-log-exp
2×cosh-def frac-2neg clear-num associate-/r/
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
3 → 184
Calls
3 calls:
38.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
5.0ms
(/ y (sin y))
11.0ms
(/ 1 (/ y (sin y)))

series121.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
27.0ms
(/ y (sin y))
25.0ms
(/ 1 (/ y (sin y)))

simplify85.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06281345
130201171
250021048

prune387.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
0.1b
(/ 1 (sin y))
0.2b
(/ (/ 1 y) (/ 1 (sin y)))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
854×times-frac
426×add-sqr-sqrt
397×*-un-lft-identity
391×add-cube-cbrt
174×associate-*r*
105×add-exp-log
66×div-exp
57×div-inv
35×add-cbrt-cube
17×cbrt-undiv rec-exp 1-exp prod-exp
16×associate-/r* associate-/l*
10×unswap-sqr
6×pow1
5×cbrt-unprod
3×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
2×cosh-def frac-2neg clear-num associate-/r/
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/ inv-pow
Counts
3 → 485
Calls
3 calls:
78.0ms
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
7.0ms
(/ 1 (sin y))
20.0ms
(/ (/ 1 y) (/ 1 (sin y)))

series115.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
13.0ms
(/ 1 (sin y))
25.0ms
(/ (/ 1 y) (/ 1 (sin y)))

simplify90.0ms

Algorithm
egg-herbie
Counts
494 → 494
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
018374747
150024111

prune922.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (* (* (cbrt 1) (cbrt 1)) (* (/ (cbrt 1) y) (sin y))))
0.2b
(* (/ (cbrt 1) y) (sin y))

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log
27×add-sqr-sqrt add-cbrt-cube
25×associate-*l*
22×pow1 prod-exp cbrt-unprod
21×times-frac
18×*-un-lft-identity
17×add-cube-cbrt
14×pow-prod-down
11×cbrt-prod
4×associate-*r* associate-*l/ unswap-sqr
3×cbrt-undiv associate-*r/ div-exp
2×expm1-log1p-u cosh-def *-commutative log1p-expm1-u add-log-exp
1×frac-times div-inv
Counts
2 → 81
Calls
2 calls:
150.0ms
(* (cosh x) (* (* (cbrt 1) (cbrt 1)) (* (/ (cbrt 1) y) (sin y))))
22.0ms
(* (/ (cbrt 1) y) (sin y))

series98.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(* (cosh x) (* (* (cbrt 1) (cbrt 1)) (* (/ (cbrt 1) y) (sin y))))
25.0ms
(* (/ (cbrt 1) y) (sin y))

simplify62.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0462827
12077634
25002492

prune205.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0b

regimes175.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
174

end0.0ms

sample2.3s

Algorithm
intervals
Results
876.0ms2952×body1280valid
451.0ms2533×body640valid
351.0ms8410×body80valid
149.0ms1243×body320valid
58.0ms637×body160valid